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Finding the Fourth Proportional to 23,380.38, 32,264.46 and 12,769.92

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Solution

The fourth proportional to 23,380.38, 32,264.46 and 12,769.92 is: 17,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.38 : 32,264.46 = 12,769.92 : x
  2. Step 2: Convert to fraction form
    23,380.38/32,264.46 = 12,769.92/x
  3. Step 3: Cross multiply
    23,380.38x = 32,264.46 × 12,769.92
  4. Step 4: Simplify right side
    23,380.38x = 412,014,573.04
  5. Step 5: Solve for x
    x = 412,014,573.04/23,380.38
  6. Step 6: Final answer
    x = 17,622.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.